1220857459200 has 720 divisors, whose sum is σ = 4561057276776. Its totient is φ = 311564697600.

The previous prime is 1220857459189. The next prime is 1220857459201. The reversal of 1220857459200 is 29547580221.

1220857459200 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 8 + 57 + 4 + 592 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1299458304 + 1219558000896 = 36048^2 + 1104336^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1220857459201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 250327162 + ... + 250332038.

Almost surely, 2^{1220857459200} is an apocalyptic number.

1220857459200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220857459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280528638388).

1220857459200 is an abundant number, since it is smaller than the sum of its proper divisors (3340199817576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1220857459200 is a wasteful number, since it uses less digits than its factorization.

1220857459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1220857459200 in words is "one trillion, two hundred twenty billion, eight hundred fifty-seven million, four hundred fifty-nine thousand, two hundred".